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Finding the Third Proportional to 10,869.75 and 23,815.13

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Solution

The third proportional to 10,869.75 and 23,815.13 is: 52,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.75 : 23,815.13 = 23,815.13 : x
  2. Step 2: Convert to fraction form
    10,869.75/23,815.13 = 23,815.13/x
  3. Step 3: Cross multiply
    10,869.75x = 23,815.13 × 23,815.13
  4. Step 4: Simplify right side
    10,869.75x = 567,160,178.77
  5. Step 5: Solve for x
    x = 567,160,178.77/10,869.75
  6. Step 6: Final answer
    x = 52,177.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.